Algebraic Quantum Field Theory: An Introduction
by Christopher J. Fewster, Kasia Rejzner
Publisher: arXiv.org 2019
Number of pages: 47
We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of explaining its key structures and features. Topics covered include: algebraic formulations of quantum theory and the GNS representation theorem, the appearance of unitarily inequivalent representations in QFT (exemplified by the van Hove model), the main assumptions of AQFT and simple models thereof, the spectrum condition, etc.
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by Sidney Coleman - arXiv
These notes were taken during Sidney Coleman's lectures on Quantum Field Theory (Physics 253), given at Harvard University in Fall semester of the 1986-1987 academic year. These notes remain the principal source for the Physics 253a materials.
by John C. Baez, Irving E. Segal, Zhengfang Zhou - Princeton University Press
The book presents a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. The authors address readers interested in fundamental mathematical physics and who have the training of a graduate student.
by Matthew Schwartz - Harvard University
The approach is to emphasize that Quantum Field Theory is first and foremost a tool for performing practical calculations. I will emphasize the physical problems which have driven the development of the field, and to show how they can be solved.
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